Match the following pair of planes with their lines of intersection. Match the following. List-I List-II (A) x + y = 0 = y + z . (P) 0 x − 2 = − 1 y − 2007 = z + 2004 (B) x − 2 = 0 = y − 3 . (Q) 0

Question

Match the following pair of planes with their lines of intersection.

Match the following.

List-I	List-II
(A) $x + y = 0 = y + z$ .	(P) $\frac{x - 2}{0} = \frac{y - 2007}{- 1} = z + 2004$
(B) $x - 2 = 0 = y - 3$ .	(Q) $\frac{x - 2}{0} = - y = z - 1$
(C) $x - 2 = 0 = y + z - 3$ .	(R) $x = - y = z$
(D) $x - 2 = 0 = x + y + z - 3$ .	(S) $\frac{x - 2}{0} = \frac{y - 3}{0} = z$

TestHub · Accepted Answer

(A) y = − x , z = − y = x : line x = − y = z through the origin → R. (B) x = 2 , y = 3 , z free: 0 x − 2 ​ = 0 y − 3 ​ = z → S . (C) x = 2 , z = 3 − y : direction ( 0 , 1 , − 1 ) ; taking the point ( 2 , 2007 , − 2004 ) : 0 x − 2 ​ = − 1 y − 2007 ​ = z + 2004 → P . ( D ) x = 2 , y + z = 1 : point ( 2 , 0 , 1 ) , direction ( 0 , − 1 , 1 ) : 0 x − 2 ​ = − y = z − 1 → Q .

Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

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